All categories

3 years ago

The Perimeter of a rectangle is 304 cm. The length is 40 cm longer than the width. Find the length and width.

Mathematics

1 answer:

nekit [7.7K]3 years ago

8 0

Step-by-step explanation:

Perimeter = 2(length) + 2(width)

let x represent the width

$304 = 2x + 2(x + 40)$

$304 = 4x + 80$

$224 = 4x$

$x = 56$

this means that the width is 56cm

sub this into the length:

length = 56 + 40

= 96cm

You might be interested in

Eli took the fleet of 8 vans for oil changes. all of the vans needed windshield wipers which cost $24 per can the total

Alexxandr [17]

The answer to this problem is 432

5 0

2 years ago

A participant in a 21-mile walkathon walks at a steady rate of 3 per hours. He thinks, "the relationship between the number of m

Gnom [1K]

Answer:

Yes. I agree with his claim because the equation relating the miles left to walk and the number of miles left to walk is : $y=-3t+21$

Step-by-step explanation:

Given :

It's a 21 - mile walkathon
The rate at which he is moving is 3 miles per hour.

Let the number of miles walked be $x$ ;

∴,

The number of miles ' $y$ ' left to walk will be : $y=21-x$

Thus the time ' $t$ ' for which he walked :

$t=\frac{distance}{speed} \\t=\frac{x}{3}$ :

∴

From these equations , we get :

$x=21-y\\x=3t\\21-y=3t\\y=21-3t$

Thus , when we compare this with $y=mx+c$ ,

$y=mx+c\\y=-3t+21\\m=-3,c=21$

Thus this is an equation of a Line with slope -3.

3 0

3 years ago

I need help with this

Sholpan [36]

Step-by-step explanation:

71.5

....................

7 0

1 year ago

Find the equation that is perpendicular to 7y= -3x passing through (9,1).

Lera25 [3.4K]

Answer:y=7/3x−20. that is the equation that is perpendicular.

8 0

2 years ago

How to find the area of this figure

stiv31 [10]

Answer:

45 square units.

Step-by-step explanation:

Applying the pythagoras theorem:

Base of the bigger triangle = $\sqrt{15^2 - 9^2}$ = $\sqrt{144}$ = 12 units

Area of a triangle is given by $\frac{1}{2}$ × base × height

The area of the bigger triangle is $\frac{1}{2}$ × 12 × 9 = 54 square units.

The area of the smallest triangle is $\frac{1}{2}$ × (12 - 10) × 9 = 9 square units.

The area of the figure( required triangle) is 54 - 9 = 45 square units.

3 0

2 years ago